The Finsler Spacetime Condition for (α,β)-Metrics and Their Isometries

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Nicoleta Voicu
  • Annamária Friedl-Szász
  • Elena Popovici-Popescu
  • Christian Pfeifer

External Research Organisations

  • Transilvania University of Brasov
  • University of Bremen
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Details

Original languageEnglish
Article number198
JournalUniverse
Volume9
Issue number4
Publication statusPublished - 20 Apr 2023
Externally publishedYes

Abstract

For the general class of pseudo-Finsler spaces with (Formula presented.) -metrics, we establish necessary and sufficient conditions such that these admit a Finsler spacetime structure. This means that the fundamental tensor has a Lorentzian signature on a conic subbundle of the tangent bundle and thus the existence of a cone of future-pointing time-like vectors is ensured. The identified (Formula presented.) -Finsler spacetimes are candidates for applications in gravitational physics. Moreover, we completely determine the relation between the isometries of an (Formula presented.) -metric and the isometries of the underlying pseudo-Riemannian metric a; in particular, we list all (Formula presented.) -metrics which admit isometries that are not isometries of a.

Keywords

    (α,β)-metric, Finsler geometry, isometry

ASJC Scopus subject areas

Cite this

The Finsler Spacetime Condition for (α,β)-Metrics and Their Isometries. / Voicu, Nicoleta; Friedl-Szász, Annamária; Popovici-Popescu, Elena et al.
In: Universe, Vol. 9, No. 4, 198, 20.04.2023.

Research output: Contribution to journal › Article › Research › peer review

Voicu, N, Friedl-Szász, A, Popovici-Popescu, E & Pfeifer, C 2023, 'The Finsler Spacetime Condition for (α,β)-Metrics and Their Isometries', Universe, vol. 9, no. 4, 198. https://doi.org/10.3390/universe9040198
Voicu, N., Friedl-Szász, A., Popovici-Popescu, E., & Pfeifer, C. (2023). The Finsler Spacetime Condition for (α,β)-Metrics and Their Isometries. Universe, 9(4), Article 198. https://doi.org/10.3390/universe9040198
Voicu N, Friedl-Szász A, Popovici-Popescu E, Pfeifer C. The Finsler Spacetime Condition for (α,β)-Metrics and Their Isometries. Universe. 2023 Apr 20;9(4):198. doi: 10.3390/universe9040198
Voicu, Nicoleta ; Friedl-Szász, Annamária ; Popovici-Popescu, Elena et al. / The Finsler Spacetime Condition for (α,β)-Metrics and Their Isometries. In: Universe. 2023 ; Vol. 9, No. 4.
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